My Math Forum Problem Regarding Recurrance

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 November 14th, 2016, 12:43 PM #1 Newbie   Joined: Nov 2016 From: Bombay Posts: 1 Thanks: 0 Problem Regarding Recurrance I need assistance with one of my assignments, question is given below The sequence < un > is defined by the recurrence Un+1 = 3Un+1\5Un+3 initial condition of u1 = 1: Need to show un in terms of Fibonacci / Lucas numbers
 November 14th, 2016, 03:14 PM #2 Global Moderator     Joined: Oct 2008 From: London, Ontario, Canada - The Forest City Posts: 7,407 Thanks: 859 Math Focus: Elementary mathematics and beyond Is your sequence $$U_{n+1}=\frac{3U_n+1}{5U_n+3}$$ ? Any thoughts on how to begin?

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# un 1=(3un 1)/(5un 3) initial condition is u1=1

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